Dynamic expansion modeling of a thick-walled cylinder under internal high strain rate loading

ABSTRACT

This article presents analysis of the dynamic behavior of a thick-walled cylinder under the assumption of nonlinear strain rate hardening behavior under high strain rate loading before any fracture on the surface. The theoretical model applies both to direct and indirect use of dynamic strength of material and instant boundary conditions to establish a differential equation for radial expansion velocity. Further, detailed discussion will be given with emphasis on the main aspects of the cylinder behavior, i.e., radial displacement, internal pressure, strain rate, flow stress, radial and tangential stress, and the influence of the different material rate sensitive exponent.

KEYWORDS:

• thick-walled cylinder
• radial velocity
• dynamic yield stress
• internal pressure
• strain rate hardening